All Figures

$\begin{figure} \par\includegraphics[width=7cm]{aa2847f1.eps} \end{figure}$ Figure 1: Radial profile of the source term s(r) in the continuity equation.
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In the text

$\begin{figure} \par\includegraphics[width=13.3cm,clip]{aa2847f2.eps} \end{figure}$ Figure 2: Non linear evolution of the diocotron instability for a total charge of the system equal to $Q_{\rm c}$ and with an external source of charges s. Initially, the disk extends from r₁=1.5 R_* to r₂=50 R_* while the grid extends from R₁=1.01 R_* to R₂=100 R_*. The pictures are taken from t=0 to t=8 with a time step $\Delta t=1$ , from left to right, and from top to bottom. The inner circle corresponds to r=R_* while the outer one to r=33 R_*.
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In the text

$\begin{figure} \par\includegraphics[width=13.2cm,clip]{aa2847f3.eps} \end{figure}$ Figure 3: Main characteristics of the non linear evolution of the diocotron instability corresponding to the case presented in 2.
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In the text

$\begin{figure} \par\includegraphics[width=13.2cm,clip]{aa2847f4.eps} \end{figure}$ Figure 4: Characteristics of the quasilinear evolution of the diocotron instability with an additional external source. Initially, the system has a total charge given by $Q_{{\rm tot}}=3~Q_{\rm c}$ . Time is in units of $\Omega _*^{-1}$ , the distance in units of the stellar radius R_*, the growth rate in $\Omega _*$ , the current is expressed in $\varepsilon_0~\Omega_*^2~B_*~R_*^3$ and the diffusion pseudo-coefficient $\mathcal{D}$ in $\Omega_* B_*~R_*^2$ .
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In the text

$\begin{figure} \par\begin{tabular}{cc} \includegraphics[scale=0.5] {MS2847.f5a... ...*{3mm} \includegraphics[scale=0.6] {MS2847.f5d}\\ \end{tabular} \end{figure}$ Figure B.1: Some examples of density perturbations for the system with total charge equal to $Q=Q_{\rm c}$ . The Fourier coefficients in $\cos m\varphi$ and in $\sin m\varphi$ are presented for the modes m=2,5 and 10. The oscillation frequency and the shape of the envelop give the eigenvalues for the corresponding mode.

In the text

$\begin{figure} \par\includegraphics[width=7cm]{aa2847f1.eps} \end{figure}$	Figure 1: Radial profile of the source term s(r) in the continuity equation.
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$\begin{figure} \par\includegraphics[width=13.2cm,clip]{aa2847f3.eps} \end{figure}$	Figure 3: Main characteristics of the non linear evolution of the diocotron instability corresponding to the case presented in 2.
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